The collinearly-improved Balitsky-Kovchegov equation

The high-energy evolution in perturbative QCD suffers from a severe lack-of-convergence problem, due to higher order corrections enhanced by double and single transverse logarithms. We resum double logarithms to all orders within the non-linear Balitsky-Kovchegov equation, by taking into account suc...

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Main Authors: Iancu, E, Madrigal, J. D, Mueller, A. H, Soyez, G, Triantafyllopoulos, D. N
Format: Journal Article
Language:English
Published: 25-01-2016
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Abstract The high-energy evolution in perturbative QCD suffers from a severe lack-of-convergence problem, due to higher order corrections enhanced by double and single transverse logarithms. We resum double logarithms to all orders within the non-linear Balitsky-Kovchegov equation, by taking into account successive soft gluon emissions strongly ordered in lifetime. We further resum single logarithms generated by the first non-singular part of the splitting functions and by the one-loop running of the coupling. The resummed BK equation admits stable solutions, which are used to successfully fit the HERA data at small $x$ for physically acceptable initial conditions and reasonable values of the fit parameters.
AbstractList The high-energy evolution in perturbative QCD suffers from a severe lack-of-convergence problem, due to higher order corrections enhanced by double and single transverse logarithms. We resum double logarithms to all orders within the non-linear Balitsky-Kovchegov equation, by taking into account successive soft gluon emissions strongly ordered in lifetime. We further resum single logarithms generated by the first non-singular part of the splitting functions and by the one-loop running of the coupling. The resummed BK equation admits stable solutions, which are used to successfully fit the HERA data at small $x$ for physically acceptable initial conditions and reasonable values of the fit parameters.
Author Mueller, A. H
Iancu, E
Triantafyllopoulos, D. N
Madrigal, J. D
Soyez, G
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  surname: Triantafyllopoulos
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BackLink https://doi.org/10.1016/j.nuclphysa.2016.01.052$$DView published paper (Access to full text may be restricted)
https://doi.org/10.48550/arXiv.1601.06525$$DView paper in arXiv
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Snippet The high-energy evolution in perturbative QCD suffers from a severe lack-of-convergence problem, due to higher order corrections enhanced by double and single...
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SubjectTerms Physics - High Energy Physics - Phenomenology
Title The collinearly-improved Balitsky-Kovchegov equation
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